Least Common Multiple (LCM) of 160 and 94
The least common multiple (LCM) of 160 and 94 is 7520.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 160 and 94?
First, calculate the GCD of 160 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 94 = 1 remainder 66 |
| 2 | 94 ÷ 66 = 1 remainder 28 |
| 3 | 66 ÷ 28 = 2 remainder 10 |
| 4 | 28 ÷ 10 = 2 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 162 | 162 |
| 164 and 40 | 1640 |
| 69 and 123 | 2829 |
| 137 and 131 | 17947 |
| 75 and 42 | 1050 |